What is the Greatest Common Factor of 40798 and 40810?

Greatest common factor (GCF) of 40798 and 40810 is 2.

GCF(40798,40810) = 2

We will now calculate the prime factors of 40798 and 40810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40798 and 40810.

How to find the GCF of 40798 and 40810?

We will first find the prime factorization of 40798 and 40810. After we will calculate the factors of 40798 and 40810 and find the biggest common factor number .

Step-1: Prime Factorization of 40798

Prime factors of 40798 are 2, 20399. Prime factorization of 40798 in exponential form is:

40798 = 2¹ × 20399¹

Step-2: Prime Factorization of 40810

Prime factors of 40810 are 2, 5, 7, 11, 53. Prime factorization of 40810 in exponential form is:

40810 = 2¹ × 5¹ × 7¹ × 11¹ × 53¹

Step-3: Factors of 40798

List of positive integer factors of 40798 that divides 40798 without a remainder.

1, 2, 20399

Step-4: Factors of 40810

List of positive integer factors of 40810 that divides 40798 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 53, 55, 70, 77, 106, 110, 154, 265, 371, 385, 530, 583, 742, 770, 1166, 1855, 2915, 3710, 4081, 5830, 8162, 20405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40798 and 40810. The biggest common factor number is the GCF number.
So the greatest common factor 40798 and 40810 is 2.

Also check out the Least Common Multiple of 40798 and 40810